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    Advanced Dynamics

    Rigid Body, Multibody, and Aerospace Applications

    AvReza N. Jazar

    Inbunden, Engelska, 2011

    1 512 kr

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    Beskrivning

    A thorough understanding of rigid body dynamics as it relates to modern mechanical and aerospace systems requires engineers to be well versed in a variety of disciplines. This book offers an all-encompassing view by interconnecting a multitude of key areas in the study of rigid body dynamics, including classical mechanics, spacecraft dynamics, and multibody dynamics. In a clear, straightforward style ideal for learners at any level, Advanced Dynamics builds a solid fundamental base by first providing an in-depth review of kinematics and basic dynamics before ultimately moving forward to tackle advanced subject areas such as rigid body and Lagrangian dynamics. In addition, Advanced Dynamics: Is the only book that bridges the gap between rigid body, multibody, and spacecraft dynamics for graduate students and specialists in mechanical and aerospace engineeringContains coverage of special applications that highlight the different aspects of dynamics and enhances understanding of advanced systems across all related disciplinesPresents material using the author's own theory of differentiation in different coordinate frames, which allows for better understanding and application by students and professionalsBoth a refresher and a professional resource, Advanced Dynamics leads readers on a rewarding educational journey that will allow them to expand the scope of their engineering acumen as they apply a wide range of applications across many different engineering disciplines.

    Produktinformation

    • Utgivningsdatum:2011-04-05
    • Mått:196 x 244 x 53 mm
    • Vikt:2 155 g
    • Format:Inbunden
    • Språk:Engelska
    • Antal sidor:1 344
    • Förlag:John Wiley & Sons Inc
    • ISBN:9780470398357

    Utforska kategorier

    • Maskinteknik och material inom Naturvetenskap och teknik

    Mer om författaren

    Reza N. Jazar is a professor of mechanical engineering, receiving his master's degree from Tehran Polytechnic in 1990, specializing in robotics. In 1997, he acquired his PhD from Sharif Institute of Technology in nonlinear dynamics and applied mathematics. Prof. Jazar is a specialist in classical and nonlinear dynamics, and has extensive experience in the field of dynamics and mathematical modeling. Prof. Jazar has worked in numerous universities worldwide, and through his years of work experience, he has formulated many theorems, innovative ideas, and discoveries in classical dynamics, robotics, control, and nonlinear vibrations. Razi Acceleration, Theory of Time Derivative, Order-Free Transformations, Caster Theory, Autodriver Algorithm, Floating-Time Method, Energy-Rate Method, and RMS Optimization Method are some of his discoveries and innovative ideas. Some of his recent discoveries in kinematics dynamics were introduced in Advanced Dynamics for the first time. Prof. Jazar has written over 200 scientific papers and technical reports and has authored more than thirty books including Theory of Applied Robotics: Kinematics, Dynamics, and Control, Second Edition and Vehicle Dynamics: Theory and Application.

    Innehållsförteckning

    • Preface xiiiPart I Fundamentals 11 Fundamentals of Kinematics 31.1 Coordinate Frame and Position Vector 31.1.1 Triad 31.1.2 Coordinate Frame and Position Vector 41.1.3 Vector Definition 101.2 Vector Algebra 121.2.1 Vector Addition 121.2.2 Vector Multiplication 171.2.3 Index Notation 261.3 Orthogonal Coordinate Frames 311.3.1 Orthogonality Condition 311.3.2 Unit Vector 341.3.3 Direction of Unit Vectors 361.4 Differential Geometry 371.4.1 Space Curve 381.4.2 Surface and Plane 431.5 Motion Path Kinematics 461.5.1 Vector Function and Derivative 461.5.2 Velocity and Acceleration 511.5.3 Natural Coordinate Frame 541.6 Fields 771.6.1 Surface and Orthogonal Mesh 781.6.2 Scalar Field and Derivative 851.6.3 Vector Field and Derivative 92Key Symbols 100Exercises 1032 Fundamentals of Dynamics 1142.1 Laws of Motion 1142.2 Equation of Motion 1192.2.1 Force and Moment 1202.2.2 Motion Equation 1252.3 Special Solutions 1312.3.1 Force Is a Function of Time, F = F (t) 1322.3.2 Force Is a Function of Position, F = F(x) 1412.3.3 Elliptic Functions 1482.3.4 Force Is a Function of Velocity, F = F (v) 1562.4 Spatial and Temporal Integrals 1652.4.1 Spatial Integral: Work and Energy 1652.4.2 Temporal Integral: Impulse and Momentum 1762.5 Application of Dynamics 1882.5.1 Modeling 1892.5.2 Equations of Motion 1972.5.3 Dynamic Behavior and Methods of Solution 2002.5.4 Parameter Adjustment 220Key Symbols 223Exercises 226Part II Geometric Kinematics 2413 Coordinate Systems 2433.1 Cartesian Coordinate System 2433.2 Cylindrical Coordinate System 2503.3 Spherical Coordinate System 2633.4 Nonorthogonal Coordinate Frames 2693.4.1 Reciprocal Base Vectors 2693.4.2 Reciprocal Coordinate Frame 2783.4.3 Inner and Outer Vector Product 2853.4.4 Kinematics in Oblique Coordinate Frames 2983.5 Curvilinear Coordinate System 3003.5.1 Principal and Reciprocal Base Vectors 3013.5.2 Principal–Reciprocal Transformation 3113.5.3 Curvilinear Geometry 3203.5.4 Curvilinear Kinematics 3253.5.5 Kinematics in Curvilinear Coordinates 335Key Symbols 346Exercises 3474 Rotation Kinematics 3574.1 Rotation About Global Cartesian Axes 3574.2 Successive Rotations About Global Axes 3634.3 Global Roll–Pitch–Yaw Angles 3704.4 Rotation About Local Cartesian Axes 3734.5 Successive Rotations About Local Axes 3764.6 Euler Angles 3794.7 Local Roll–Pitch–Yaw Angles 3914.8 Local versus Global Rotation 3954.9 General Rotation 3974.10 Active and Passive Rotations 4094.11 Rotation of Rotated Body 411Key Symbols 415Exercises 4165 Orientation Kinematics 4225.1 Axis–Angle Rotation 4225.2 Euler Parameters 4385.3 Quaternion 4495.4 Spinors and Rotators 4575.5 Problems in Representing Rotations 4595.5.1 Rotation Matrix 4605.5.2 Axis–Angle 4615.5.3 Euler Angles 4625.5.4 Quaternion and Euler Parameters 4635.6 Composition and Decomposition of Rotations 4655.6.1 Composition of Rotations 4665.6.2 Decomposition of Rotations 468Key Symbols 470Exercises 4716 Motion Kinematics 4776.1 Rigid-Body Motion 4776.2 Homogeneous Transformation 4816.3 Inverse and Reverse Homogeneous Transformation 4946.4 Compound Homogeneous Transformation 5006.5 Screw Motion 5176.6 Inverse Screw 5296.7 Compound Screw Transformation 5316.8 Plücker Line Coordinate 5346.9 Geometry of Plane and Line 5406.9.1 Moment 5406.9.2 Angle and Distance 5416.9.3 Plane and Line 5416.10 Screw and Plücker Coordinate 545Key Symbols 547Exercises 5487 Multibody Kinematics 5557.1 Multibody Connection 5557.2 Denavit–Hartenberg Rule 5637.3 Forward Kinematics 5847.4 Assembling Kinematics 6157.5 Order-Free Rotation 6287.6 Order-Free Transformation 6357.7 Forward Kinematics by Screw 6437.8 Caster Theory in Vehicles 6497.9 Inverse Kinematics 662Key Symbols 684Exercises 686Part III Derivative Kinematics 6938 Velocity Kinematics 6958.1 Angular Velocity 6958.2 Time Derivative and Coordinate Frames 7188.3 Multibody Velocity 7278.4 Velocity Transformation Matrix 7398.5 Derivative of a Homogeneous Transformation Matrix 7488.6 Multibody Velocity 7548.7 Forward-Velocity Kinematics 7578.8 Jacobian-Generating Vector 7658.9 Inverse-Velocity Kinematics 778Key Symbols 782Exercises 7839 Acceleration Kinematics 7889.1 Angular Acceleration 7889.2 Second Derivative and Coordinate Frames 8109.3 Multibody Acceleration 8239.4 Particle Acceleration 8309.5 Mixed Double Derivative 8589.6 Acceleration Transformation Matrix 8649.7 Forward-Acceleration Kinematics 8729.8 Inverse-Acceleration Kinematics 874Key Symbols 877Exercises 87810 Constraints 88710.1 Homogeneity and Isotropy 88710.2 Describing Space 89010.2.1 Configuration Space 89010.2.2 Event Space 89610.2.3 State Space 90010.2.4 State–Time Space 90810.2.5 Kinematic Spaces 91010.3 Holonomic Constraint 91310.4 Generalized Coordinate 92310.5 Constraint Force 93210.6 Virtual and Actual Works 93510.7 Nonholonomic Constraint 95210.7.1 Nonintegrable Constraint 95210.7.2 Inequality Constraint 96210.8 Differential Constraint 96610.9 Generalized Mechanics 97010.10 Integral of Motion 97610.11 Methods of Dynamics 99610.11.1 Lagrange Method 99610.11.2 Gauss Method 99910.11.3 Hamilton Method 100210.11.4 Gibbs–Appell Method 100910.11.5 Kane Method 101310.11.6 Nielsen Method 1017Key Symbols 1021Exercises 1024Part IV Dynamics 103111 Rigid Body and Mass Moment 103311.1 Rigid Body 103311.2 Elements of the Mass Moment Matrix 103511.3 Transformation of Mass Moment Matrix 104411.4 Principal Mass Moments 1058Key Symbols 1065Exercises 106612 Rigid-Body Dynamics 107212.1 Rigid-Body Rotational Cartesian Dynamics 107212.2 Rigid-Body Rotational Eulerian Dynamics 109612.3 Rigid-Body Translational Dynamics 110112.4 Classical Problems of Rigid Bodies 111212.4.1 Torque-Free Motion 111212.4.2 Spherical Torque-Free Rigid Body 111512.4.3 Axisymmetric Torque-Free Rigid Body 111612.4.4 Asymmetric Torque-Free Rigid Body 112812.4.5 General Motion 114112.5 Multibody Dynamics 115712.6 Recursive Multibody Dynamics 1170Key Symbols 1177Exercises 117913 Lagrange Dynamics 118913.1 Lagrange Form of Newton Equations 118913.2 Lagrange Equation and Potential Force 120313.3 Variational Dynamics 121513.4 Hamilton Principle 122813.5 Lagrange Equation and Constraints 123213.6 Conservation Laws 124013.6.1 Conservation of Energy 124113.6.2 Conservation of Momentum 124313.7 Generalized Coordinate System 124413.8 Multibody Lagrangian Dynamics 1251Key Symbols 1262Exercises 1264References 1280A Global Frame Triple Rotation 1287B Local Frame Triple Rotation 1289C Principal Central Screw Triple Combination 1291D Industrial Link DH Matrices 1293E Trigonometric Formula 1300Index 1305